|
|
A139875
|
|
Primes of the form 4x^2 + 4xy + 43y^2.
|
|
1
|
|
|
43, 67, 163, 211, 331, 379, 499, 547, 571, 739, 883, 907, 1051, 1171, 1579, 1723, 1747, 2011, 2083, 2179, 2251, 2347, 2683, 2731, 2851, 3019, 3067, 3187, 3259, 3571, 3691, 3739, 3907, 3931, 4027, 4099, 4243, 4363, 4603, 5107, 5419, 5443
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
Discriminant = -672. See A139827 for more information.
|
|
LINKS
|
|
|
FORMULA
|
The primes are congruent to {43, 67, 163} (mod 168).
|
|
MATHEMATICA
|
QuadPrimes2[4, -4, 43, 10000] (* see A106856 *)
|
|
PROG
|
(Magma) [ p: p in PrimesUpTo(6000) | p mod 168 in {43, 67, 163}]; // Vincenzo Librandi, Jul 30 2012
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,easy
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|